We look at the division of 103459 by 25 
We want to figure out the number of times 103459 can be divided by 25.

Advancing to step 1:
1 divided by 25 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 25

On to step 2:
25 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Fetch the next digit (3) from the dividend, attach it to 10 and continue: 103 / 25

Step 3:
The number 25 fits into 103 4 times, leaving a remainder of 3.
The next digit of our result is 4. 
Result so far: 4.0
If we subtract 100 from 103, we get 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 25

Let's proceed to step 4:
25 can be fit into 34 1 times, resulting in a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 41.0
Subtracting 25 from 34 leaves us with 9.
Fetch the next digit (5) from the dividend, attach it to 9 and continue: 95 / 25

Advancing to step 5:
25 goes into 95 3 times with a remainder of 20.
The number 3 becomes the next digit in our result. 
Result so far: 413.0
Subtract 75 from 95 to get 20.
Append the next digit (9) from the dividend to 20 and continue with: 209 / 25

Step 6:
209 divided by 25 is 8 with a remainder of 9.
Write down 8 as next digit of the result. 
Result so far: 4138.0
The remainder is 9 after subtracting 200 from 209.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
90 divided by 25 is 3 with a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 4138.3
Deduct 75 from 90 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 8:
When dividing 150 by 25, we get 6 with a remainder of 0.
The next digit of our result is 6. 
Result so far: 4138.36
If we subtract 150 from 150, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 4138.36
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 10:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 4138.36
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 4138.36, and the remainder is 0.0.